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The Riemann Problem for the Transportation Equations in Gas Dynamics
Wancheng ShengTong Zhang
出版American Mathematical Soc., 1999
主題Mathematics / GeneralMathematics / Differential Equations / GeneralMathematics / Geometry / DifferentialScience / Mechanics / Fluids
ISBN08218094749780821809471
URLhttp://books.google.com.hk/books?id=qpjTCQAAQBAJ&hl=&source=gbs_api
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註釋In this volume, the one-dimensional and two-dimensional Riemann problems for the transportation equations in gas dynamics are solved constructively. In either the 1-D or 2-D case, there are only two kinds of solutions: one involves Dirac delta waves, and the other involves vacuums, which have been merely discussed so far. The generalized Rankine-Hugoniot and entropy conditions for Dirac delta waves are clarified with viscous vanishing method. All of the existence, uniqueness and stability for viscous perturbations are proved analytically.